发表机构
Moscow Institute of Physics and Technology（莫斯科物理技术学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文对两类仿射李超代数的Satake图分类，证明其生成真球面子代数族，该族含求解超对称反射方程的K矩阵的经典类比子代数。
AI 中文摘要
我们对一般线性和正交辛非扭仿射李超代数的Satake图进行分类，证明每个Satake图生成一族真球面子代数；进一步表明，该族包含带有矩阵不变量的子代数，这些子代数被视为求解超对称反射方程的K矩阵的经典类比。
英文摘要
We classify Satake diagrams for general linear and orthosymplectic non-twisted affine Lie superalgebras and prove that each of them generates a family of proper spherical subalgebras. Furthermore, we demonstrate that every such family contains subalgebras with matrix invariants, which are viewed as classical analogs of K-matrices solving supersymmetric Reflection equation.
Comments54 pages. A few mistakes corrected. Definition of regular subalgebras extended and the Subsection 3.1 revised
